You can have all the ‘engineering solutions’ you want, but they need to pass through the sphincter called governments. (Considering governments are populated by a-holes who talk a lot of sh!t, I think sphincter is an apt metaphor.)
Before you even hit that barrier there is the practical barrier of too much cost and too little time. By inaction we have decreased our options and increased the scale of the disruption.
Oh I should add, the crisis is not just greenhouse gases, but habitat loss, ecosystem destruction, accelerating species extinction, plastics and forever chemical proliferation, unsustainable agricultural practices, wars, urbanization, air pollution, corruption, various health epidemics (Covid, opioids, diabetes, cancer, respiratory illness). Probably the most acute issue is the group mental illness known as the internet, specifically ’social’ media. These are all interrelated.
Democracy is not fit for purpose, totalitarian regimes even less so.
Until we figure out self-governing and self-regulation, and turn away from our deeply ingrained perpetual growth mindset, events and natural consequences will determine what the outcome looks like. Right now prospects do not look good.